document.write( "Question 41914: solve\r
\n" ); document.write( "\n" ); document.write( "having problems with this\r
\n" ); document.write( "\n" ); document.write( "d(d-3)=40\r
\n" ); document.write( "\n" ); document.write( "show work
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Algebra.Com's Answer #27032 by tutorcecilia(2152)\"\" \"About 
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d(d-3)=40
\n" ); document.write( "First, simply by using the distributive property:
\n" ); document.write( "d^2 – 3d =40
\n" ); document.write( ".
\n" ); document.write( "Since the highest degree is 2 (d^2) try to set it up as a quadratic polynomial. Set the entire equation equal to zero by subtracting 40 from both sides.
\n" ); document.write( "d^2 – 3d - 40=0
\n" ); document.write( "Factor:
\n" ); document.write( "(d+5)(d-8)=0
\n" ); document.write( "Set each factor equal to zero and solve for d:
\n" ); document.write( "d+5= 0
\n" ); document.write( "d = -5
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\n" ); document.write( "d-8=0
\n" ); document.write( "d =8
\n" ); document.write( "The possible solution set is 3 and/or 8.\r
\n" ); document.write( "\n" ); document.write( "Check each solution by plugging it back into the original problem:
\n" ); document.write( "d(d-3)=40
\n" ); document.write( "-5(-5-3)=40
\n" ); document.write( "-5(-8)=40
\n" ); document.write( "40=40.
\n" ); document.write( ".
\n" ); document.write( "d(d-3)=40
\n" ); document.write( "8(8-3)=40
\n" ); document.write( "8(5)=40
\n" ); document.write( "40=40
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